21627225760 has 192 divisors, whose sum is σ = 61588961280. Its totient is φ = 7010841600.

The previous prime is 21627225757. The next prime is 21627225769. The reversal of 21627225760 is 6752272612.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (21627225769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20577235 + ... + 20578285.

It is an arithmetic number, because the mean of its divisors is an integer number (320775840).

Almost surely, 2^21627225760 is an apocalyptic number.

21627225760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21627225760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30794480640).

21627225760 is an abundant number, since it is smaller than the sum of its proper divisors (39961735520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21627225760 is a wasteful number, since it uses less digits than its factorization.

21627225760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 21627225760 in words is "twenty-one billion, six hundred twenty-seven million, two hundred twenty-five thousand, seven hundred sixty".